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hi Iamp;#39;m Dorian Rudolph and I present the talk Quantum space ground space traversal and how to embed multi-prover interactive proofs into an entanglement which is joint work with silver Caribbean at parabon University the central theme underlying this talk is a Quantum analog of NP space which is space-bounded quantum computation we studied the complexity class qcms base where space bounded Quantum verifier is given access to an exponentially long classical proof classically this relates to Savageamp;#39;s theorem showing p-space equals NP space we use the concept of streaming proofs to avoid exponentially white circuits for long proofs note in Quantum we work with the proof view of NP space as opposed to The non-deterministic View we show how to reduce streaming proofs to qm A2 and how to Traverse the ground space of a hamiltonian with local unitaries letamp;#39;s start with the introduction everybody knows the open problem of P versus NP the space bounded analog pspace versus